The following is a question that I had to answer for a post in my Finiate Math c
ID: 2943282 • Letter: T
Question
The following is a question that I had to answer for a post in my Finiate Math class.The percentage of homes with digital TV services stood at 5% at the beginning of 1990 (t=0) and was projected to grow linearly so that, at the beginning of 2003 (t=4), the percentage of such homes was 25%.
a) Derive an equation of the line passing through the points A(0,5) and B(4,25).
b) Using the equation found in part a find the percentage of homes with digital TV services at the beginning of 2001.
This were the answer that I submitted for the above problems the first one is correct but the second part is incorrect. These are the comments the instructor left for me:
Kevin, you did a great job on the first part of the problem, but missed the solution for the second part. Please realize that in order to solve part b), you need to find the value of t for each of the thirteen years and use this information to find the percentage of homes with digital TV services after eleven years. Pease correct and submit.
A. The following equation can be used to find the slope by taking the change in y over the change in x.
m = slope = (25-5) / (4-0) = 20/4 = 5
y - 5 = 5 (x - 0)
y = 5x + 5
B. 1990 is = (t=0) then 2011 would = (t =11)
y = 5 (11) + 5 = 60
Thus 60% of people in 2001 had digital TV services.
My question is how do I fix the second part I am not following what the instructor means.
Explanation / Answer
Notice that, while t=0 corresponds to 1990, t=***4*** corresponds to 2003. What your instructor is hinting at is that the value of t you used for 2001 is incorrect. [You said 2011 in one place, but I think that was just a typo and not related to your error.] How much time passed between 1990 and 2003? How much did t increase? So how many years does each unit of t represent? Using that, what value of t would correspond to the year 2001? (From the tone of your post, I am thinking you wanted this sort of hint rather than an outright solution.) Hope this helps!
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